Pith Number

pith:CGMPCAUG

pith:2011:CGMPCAUGJOAMPJOCHYS7AZOKIF

not attested not anchored not stored refs pending

Sperner property and finite-dimensional Gorenstein algebras associated to matroids

Toshiaki Maeno, Yasuhide Numata

arxiv:1107.5094 v2 · 2011-07-25 · math.AC · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGMPCAUGJOAMPJOCHYS7AZOKIF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:08:03.591793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1198f102864b80c7a5c23e25f065ca41697c85fcccc7771ca3f4d2727d773f0c

Aliases

arxiv: 1107.5094 · arxiv_version: 1107.5094v2 · doi: 10.48550/arxiv.1107.5094 · pith_short_12: CGMPCAUGJOAM · pith_short_16: CGMPCAUGJOAMPJOC · pith_short_8: CGMPCAUG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CGMPCAUGJOAMPJOCHYS7AZOKIF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1198f102864b80c7a5c23e25f065ca41697c85fcccc7771ca3f4d2727d773f0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "229a3db7c8f55f66fe8fb87cce6b1a76f29f54d6c7daeae57ab66fc7950db9c4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-07-25T23:37:02Z",
    "title_canon_sha256": "3ce69c83388d30cd6730f1e0d8ed17ce5a20dcf405b4b1bd318c1215342e304f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5094",
    "kind": "arxiv",
    "version": 2
  }
}